Question

find all real square roots of -64. if there is more than one answer, separate them with commas. if there are none, click on
one\.

Explanation:

Step1: Recall square root definition

A real square root of a number \( x \) is a real number \( y \) such that \( y^2 = x \). For real numbers, the square of any real number \( y \) (whether positive, negative, or zero) is non - negative, i.e., \( y^2\geq0 \) for all real \( y \).

Step2: Analyze the number - 64

We want to find a real number \( y \) such that \( y^2=- 64 \). But since the square of any real number is non - negative, and \(-64\) is negative, there is no real number \( y \) that satisfies the equation \( y^2=-64 \).

Answer:

None